Answer:
Given :
The diagonal of a rectangle is 2 ✓13 cm.
The length and breadth are in the ratio
3:2.
To find :
The Area of the rectangle.
Solution :
Given that
The ratio of the length and breadth of a rectangle = 3:2
Let they be 3X cm and 2X cm
We know that
The diagonal of a rectangle = √(1²+b³)
units
The diagonal of the rectangle
= √[(3X)³+(2X)³] cm
= √(9x³+4x²) cm
=> √(13X²) cm
=> √13 X cm
According to the given problem
The diagonal of the rectangle = 2√13 cm
=> ✓13 X = 2 √13
=> X = 2√13/√13
=> X = 2 cm
If X = 2 cm then 3X=3(2) = 6 cm
If X = 2 cm then 2X = 2(2)=4 cm
Length = 6 cm
Breadth = 4 cm
We know that
Area of a rectangle = length breadth sq.units
Area of the given rectangle = 6 cm x 4 cm
= 24 cm²
Ok so you are correct that x is input and y is output
the
you could be talking about a function in general or a kind of function normally used called a one-to-one function which I will assume you are talikning about
one-to-one funciton has that for every input, there is only 1 output, ie, x never repeats with a diffent y
example
(1,2), (2,2) is a function since x didn't repeat
(1,2), (1,3) is not since x repeats with a different y
points given are
(-5,1),(-3,-2), (3,0),(1,1),(2,0),(6,4)(8,-2),(8,7)
we see that the points (8,-2) and (8,7) make it not a function since it is the same input (8) that gives 2 different outputs
professor octavious is wrong since 8 repeats
For this case we have the following number written in scientific notation:
We know that this number is greater than zero because it is a positive number.
Therefore, the following statements are true:
p ∈ (-∞, ∞)
n must be between 1 and 10
n ∈ [1, 10]
Answer:
The following statements are correct about the number written in scientific notation:
p ∈ (-∞, ∞)
n ∈ [1, 10]
Answer:
You can't solve that I think
Average speed for the entire trip, both ways, is
(Total distance) divided by (total time) .
We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.
-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.
-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes (5/12 hour) = 25 minutes.
Now we have everything we need.
Distance:
Going: 5 miles
Returning: 5 miles
Total 10 miles
Time:
Going: 50 minutes
Returning: 25 minutes
Total: 75 minutes = 1.25 hours
Average speed for the whole trip =
(total distance) / (total time)
= (10 miles) / (1.25 hours)
= (10 / 1.25) miles/hours
= 8 miles per hour